Simulation of Biological Systems

Course guarantor:

Vladimír Hlaváč

Lecturer:

Vladimír Hlaváč

Tutor:

Vladimír Hlaváč

Supervisor:

Department of Instrumentation and Control Engineering

Synopsis:

Modelling of biological dynamic systems, from single unit to population. Biological and artificial neuron, catastrophe theory, compartment models. Basic numerical description of dynamic systems and its solution in Matlab.

Subject web pages: http://iat.fs.cvut.cz/sbs

Requirements:

Attending students should have accomplished basic course of mathematics on differential equations.

Syllabus of lectures:

Artificial/biological neuron

biological neuron description

artificial neuron network, perceptron, MLP, back propagation

other types (radial based, Hopfield network, model of memory)

homeostatic neural network

Artificial live

The „live game“ simulation

Cellular automata

Swarm intelligence

Artificial ants (vant-s)

Population simulation - single population, dual (hare-wolf), three population (+vegetation grow)

Modeling of process

differential equation for dynamic description

compartment method

deterministic chaos, Lorentz attractor

catastrophic theory, examples of use

Identification

using known model, guessing parameters (gradient descent)

using feed forward neural network

using swarm/genetic algorithm

data analysis (correlation, autocorrelation, Fourier transform)

Syllabus of tutorials:

Most of problems trained using Matlab, or with a single-purpose programs. Important part of students' work is preparing a presentation and a report about one or two problems from the range of the subject.

Study Objective:

Students will practice modeling techniques related to the deterministic chaos, quasiperiodic behavior, synchronization, uncertainty, neural networks, model optimization, adaptation, and will become familiar with related terms.

Study materials:

Subject web page: http://iat.fs.cvut.cz/sbs/

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: